{"arxiv_id":"2009.05141","incoming":{"papers":5,"sentences":6,"groups":[{"kind":"background","label":"Cites it as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2312.04959","title":"Detecting defect dynamics in relativistic field theories far from equilibrium using topological data analysis","url":"/paper/2312.04959","section":"Introduction","sentence":"In the related context of phase transitions, persistent homology allowed for insights into critical phenomena and phase structures [ref] .","intent_p":0.94,"contests_p":null}]}],"unlabelled_sentences":5},"outgoing":{"papers":2,"sentences":3,"groups":[{"kind":"background","label":"Cites as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2001.02616","title":"Finding self-similar behavior in quantum many-body dynamics via persistent homology","url":"/paper/2001.02616","section":"Introduction","sentence":"A recent work proposes persistent homology observables to study dynamics of a quantum many-body system, using the two-dimensional Bose gas as an example [ref] .","intent_p":0.81,"contests_p":null}]}],"unlabelled_sentences":2},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/2009.05141"}}